Symmetries in Quantum Physics
This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei.
This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field.
Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use
Extends to multi-particle systems and relativity
Includes problems in each chapter for homework assignments
Embraces the latest research on non-invariance groups
Avis des internautes - Rédiger un commentaire
Aucun commentaire n'a été trouvé aux emplacements habituels.
6-j coefficients algebra alternative analogous angles angular momentum antisymmetric applications atomic axis base set Cartesian base Casimir operator Chapter classiﬁcation coefﬁcients commute complex conjugation components conﬁguration construction contragredient coordinate axes coordinate rotations corresponding deﬁned deﬁnition diagonal diagram dimensions direct product eigenfunctions eigenstates eigenvalues eigenvectors electron energy equation equivalent Euler angles example expression factor ﬁeld ﬁrst ﬁxed frame reversal half-integer Hamiltonian harmonics Hermitian identiﬁed indices inﬁnitesimal integer interaction invariant inversion irreducible sets labels Lorentz group Lorentz transformations magnetic matrix elements molecule momenta multipole notation orbital orthogonal pair parameters parity particles permutation physical plane polarization probability amplitudes quantum mechanics quantum numbers r-transformations radial recoupling transformation reduced matrix reﬂection relevant represented right-hand side scalar product Section shell space speciﬁc spherical spherical harmonics spin spinor standard base subgroup subsets symmetry tensorial sets tions transformation matrix unit operators unitary values vector wave functions Wigner coefficients yields